Jim, for the sake of discussion, your comment reinforces the idea that one must sing with one's own natural voice and to do otherwise brings in another element, you could do harm to your vocal mechanism if you didn't. A good voice teacher's chief job is to bring out the student's own natural vocal apparatus and a lot of time could be wasted attempting to emulate another singer.

Regarding pitch, when one is singing correctly, ie: with the proper use of their own vocal apparatus, pitch in improved considerably. Any straining for vocal effect used improperly will result in poor pitch.

Shouting unnecessarily can injure the voice without good breath support.

But I think from what you mentioned, you understand this already.

An analogy would be trying to make an oboe sound like a clarinet. It's futile.